The stability of Banach frames in Banach spaces |
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| Authors: | Yu Can Zhu Si Yuan Wang |
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| Institution: | (1) Department of Physics, Arak University, Arak, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics, Tehran, 19395-1795, Iran;(3) Research Institute for Fundamental Sciences, Tabriz, 51664, Iran |
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| Abstract: | In this paper, we give some equivalent conditions on a Banach frame for a Banach space by using the pseudoinverse operator.
We also consider the stability of a Banach frame for a Banach space X with respect to X
d
or an X
d
-frame for a Banach space X under perturbation. These results generalize and improve the related works of Balan, Casazza, Christensen, Stoeva and Jian
et al. |
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| Keywords: | Frame Banach frame Xd-frame pseudoinverse operator |
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